A right circular cylindrical tank with radius 5 ft and height 16 ft that was initially full of water is being drained at the rate of 0.5√x ft3/min. Find a formula for the depth and the amount of water in the tank at any time t. How long will it take to empty the tank?

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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A right circular cylindrical tank with radius 5 ft and height 16 ft that was initially full of
water is being drained at the rate of 0.5√x ft3/min. Find a formula for the depth and the
amount of water in the tank at any time t. How long will it take to empty the tank?
Transcribed Image Text:A right circular cylindrical tank with radius 5 ft and height 16 ft that was initially full of water is being drained at the rate of 0.5√x ft3/min. Find a formula for the depth and the amount of water in the tank at any time t. How long will it take to empty the tank?
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